Construction of SO ( 5 ) ⊃ SO ( 3 ) spherical harmonics and Clebsch–Gordan coefficients

Abstract
The SO (5) ⊃ SO (3) spherical harmonics form a natural basis for expansion of nuclear collective model angular wave functions. They underlie the recently-proposed algebraic method for diagonalization of the nuclear collective model Hamiltonian in an SU (1, 1) × SO (5) basis. We present a computer code for explicit construction of the SO (5) ⊃ SO (3) spherical harmonics and use them to compute the Clebsch-Gordan coefficients needed for collective model calculations in an SO (3)-coupled basis. ...

Title of program: GammaHarmonic
Catalogue Id: AECY_v1_0

Nature of problem
Explicit construction of SO(5) ⊃ SO(3) spherical harmonics on S 4 . Evaluation of SO(3)-reduced matrix elements and SO(5) ⊃ SO(3) Clebsch-Gordan coefficients (isoscalar factors).

Versions of this program held in the CPC repository in Mendeley Data
AECY_v1_0; GammaHarmonic; 10.1016/j.cpc.2008.12.039

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)